Report of the fit

Fit summary

Description: PV19 version x. Initial parameters fluctuated.
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
0.02351590841248	0.9422997060112	0.2036619541611	0.326688434032	0.6715638120608	0.04591270083373	0.06702302432024	0.4193674275496	0.01624238607691

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 205
\chi_{0}^2 = 1.0347
\chi_{mean}^2 = 1.0409
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.0639 \pm 0.0138
\langle E \rangle \pm \sigma_{E} = 2.0309 \pm 0.1714

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.032421552	0.0301446 \pm 0.01161824	False
N_1	0.88029848	0.99832267 \pm 0.48211028	False
\alpha	0.20236078	0.20642821 \pm 0.01269803	False
\sigma	0.31874799	0.32266179 \pm 0.05859306	False
\lambda	0.6758279	0.65687306 \pm 0.08546817	False
N_{1B}	0.041086011	0.04601744 \pm 0.0126369	False
\alpha_B	0.06963174	0.06999634 \pm 0.009572	False
\sigma_B	0.38573834	0.37701782 \pm 0.10237795	False
g_{2B}	0.014857144	0.01481557 \pm 0.00371672	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.6409	0.0014	0.6423
E605_Q_8_9	8	1.5475	0.0004	1.5479
E605_Q_10.5_11.5	10	0.4648	0.1565	0.6213
E288_200_Q_4_5	4	0.6701	0.7756	1.4457
E288_200_Q_5_6	5	1.6172	0.2007	1.8179
E288_200_Q_6_7	6	0.367	0.1015	0.4684
E288_200_Q_7_8	7	0.538	0.002	0.54
E288_200_Q_8_9	8	0.5951	0.0477	0.6428
E288_300_Q_4_5	4	0.5335	0.4563	0.9899
E288_300_Q_5_6	5	0.838	0.1068	0.9448
E288_300_Q_6_7	6	0.507	0.0182	0.5252
E288_300_Q_7_8	7	0.1288	0.0069	0.1357
E288_300_Q_8_9	8	0.4834	0.0016	0.485
E288_400_Q_5_6	5	0.2955	0.0002	0.2958
E288_400_Q_6_7	6	0.086	0.0052	0.0912
E288_400_Q_7_8	7	0.0242	0.0291	0.0532
E288_400_Q_8_9	8	0.4447	0.0557	0.5004
E288_400_Q_11_12	11	0.5017	0.0636	0.5653
E288_400_Q_12_13	12	0.4894	0.0552	0.5446
E288_400_Q_13_14	12	0.6029	0.0978	0.7007
STAR_510	7	0.8882	0.0375	0.9257
CDF_RunI	25	0.5319	0.0577	0.5896
CDF_RunII	26	0.8466	0.0027	0.8493
D0_RunI	12	0.597	0.0439	0.6409
D0_RunII	5	0.9087	0.5825	1.4912
D0_RunIImu	3	2.9385	0.0256	2.9641
LHCb_7TeV	7	1.0896	0.1472	1.2368
LHCb_8TeV	7	0.6181	0.1	0.7181
LHCb_13TeV	7	0.8796	0.0262	0.9058
CMS_7TeV	4	2.117	0	2.117
CMS_8TeV	4	1.4011	0.0071	1.4082
ATLAS_7TeV_y_0_1	6	2.5001	0.0276	2.5277
ATLAS_7TeV_y_1_2	6	4.1178	1.0352	5.1529
ATLAS_7TeV_y_2_2.4	6	3.5149	0.3817	3.8966
ATLAS_8TeV_y_0_0.4	6	1.9202	0.3487	2.2689
ATLAS_8TeV_y_0.4_0.8	6	2.1954	0.2606	2.4559
ATLAS_8TeV_y_0.8_1.2	6	0.8627	0.0634	0.9261
ATLAS_8TeV_y_1.2_1.6	6	0.8989	0.104	1.0028
ATLAS_8TeV_y_1.6_2	6	0.5636	0.0738	0.6374
ATLAS_8TeV_y_2_2.4	6	0.6445	0.279	0.9235
ATLAS_8TeV_Q_46_66	4	2.2661	0.7195	2.9856
ATLAS_8TeV_Q_116_150	8	0.4965	0.0032	0.4997
Total	319	-	-	1.0347

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.5534	0.027	0.5804
E605_Q_8_9	8	1.1713	0.0285	1.1998
E605_Q_10.5_11.5	10	0.2253	0.1561	0.3815
E288_200_Q_4_5	4	0.2585	0.4542	0.7127
E288_200_Q_5_6	5	0.9114	0.2126	1.124
E288_200_Q_6_7	6	0.2511	0.1147	0.3659
E288_200_Q_7_8	7	0.5005	0.0132	0.5136
E288_200_Q_8_9	8	0.7986	0.02	0.8186
E288_300_Q_4_5	4	0.2503	0.3456	0.5959
E288_300_Q_5_6	5	0.5547	0.152	0.7067
E288_300_Q_6_7	6	0.4545	0.0487	0.5032
E288_300_Q_7_8	7	0.1387	0.0215	0.1602
E288_300_Q_8_9	8	0.3972	0.0109	0.408
E288_400_Q_5_6	5	0.2878	0.0253	0.3131
E288_400_Q_6_7	6	0.1049	0.0022	0.1071
E288_400_Q_7_8	7	0.0375	0.01	0.0475
E288_400_Q_8_9	8	0.5503	0.0432	0.5935
E288_400_Q_11_12	11	0.6806	0.0687	0.7493
E288_400_Q_12_13	12	0.7923	0.0496	0.8419
E288_400_Q_13_14	12	1.1274	0.0596	1.187
STAR_510	7	0.7653	0.0612	0.8265
CDF_RunI	25	0.4703	0.0594	0.5296
CDF_RunII	26	0.8568	0.0007	0.8575
D0_RunI	12	0.65	0.0402	0.6902
D0_RunII	5	0.8905	0.5827	1.4732
D0_RunIImu	3	2.9186	0.0261	2.9447
LHCb_7TeV	7	1.0259	0.1649	1.1908
LHCb_8TeV	7	0.6459	0.0956	0.7415
LHCb_13TeV	7	0.8563	0.0249	0.8812
CMS_7TeV	4	2.1183	0	2.1183
CMS_8TeV	4	1.4613	0.0051	1.4664
ATLAS_7TeV_y_0_1	6	3.0761	0.0351	3.1112
ATLAS_7TeV_y_1_2	6	4.2003	1.082	5.2823
ATLAS_7TeV_y_2_2.4	6	3.5882	0.3841	3.9722
ATLAS_8TeV_y_0_0.4	6	1.9839	0.3606	2.3445
ATLAS_8TeV_y_0.4_0.8	6	2.0855	0.3273	2.4128
ATLAS_8TeV_y_0.8_1.2	6	1.0573	0.0911	1.1484
ATLAS_8TeV_y_1.2_1.6	6	0.8265	0.096	0.9224
ATLAS_8TeV_y_1.6_2	6	0.6823	0.0118	0.6941
ATLAS_8TeV_y_2_2.4	6	0.5843	0.24	0.8244
ATLAS_8TeV_Q_46_66	4	2.4774	0.6449	3.1223
ATLAS_8TeV_Q_116_150	8	0.4942	0.0026	0.4968
Total	319	-	-	1.0409

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.6647 \pm 0.1091
E605_Q_8_9	8	1.5287 \pm 0.2438
E605_Q_10.5_11.5	10	0.6551 \pm 0.1081
E288_200_Q_4_5	4	1.4992 \pm 0.3257
E288_200_Q_5_6	5	1.8567 \pm 0.2368
E288_200_Q_6_7	6	0.4959 \pm 0.1065
E288_200_Q_7_8	7	0.545 \pm 0.1616
E288_200_Q_8_9	8	0.6446 \pm 0.0806
E288_300_Q_4_5	4	1.0598 \pm 0.2679
E288_300_Q_5_6	5	0.9941 \pm 0.1504
E288_300_Q_6_7	6	0.5432 \pm 0.1404
E288_300_Q_7_8	7	0.1476 \pm 0.0558
E288_300_Q_8_9	8	0.5103 \pm 0.0875
E288_400_Q_5_6	5	0.3554 \pm 0.1136
E288_400_Q_6_7	6	0.1278 \pm 0.0475
E288_400_Q_7_8	7	0.0927 \pm 0.0641
E288_400_Q_8_9	8	0.5399 \pm 0.1025
E288_400_Q_11_12	11	0.6095 \pm 0.1693
E288_400_Q_12_13	12	0.578 \pm 0.0501
E288_400_Q_13_14	12	0.7111 \pm 0.0569
STAR_510	7	0.9443 \pm 0.0494
CDF_RunI	25	0.5951 \pm 0.0164
CDF_RunII	26	0.8826 \pm 0.0622
D0_RunI	12	0.6482 \pm 0.0338
D0_RunII	5	1.5241 \pm 0.2292
D0_RunIImu	3	2.9458 \pm 0.6374
LHCb_7TeV	7	1.2557 \pm 0.0406
LHCb_8TeV	7	0.7512 \pm 0.1629
LHCb_13TeV	7	0.9461 \pm 0.1153
CMS_7TeV	4	2.122 \pm 0.0108
CMS_8TeV	4	1.409 \pm 0.0571
ATLAS_7TeV_y_0_1	6	2.6016 \pm 0.2729
ATLAS_7TeV_y_1_2	6	5.2342 \pm 0.1161
ATLAS_7TeV_y_2_2.4	6	3.9349 \pm 0.1297
ATLAS_8TeV_y_0_0.4	6	2.2976 \pm 0.1492
ATLAS_8TeV_y_0.4_0.8	6	2.4993 \pm 0.1233
ATLAS_8TeV_y_0.8_1.2	6	0.991 \pm 0.1004
ATLAS_8TeV_y_1.2_1.6	6	1.0325 \pm 0.1569
ATLAS_8TeV_y_1.6_2	6	0.7649 \pm 0.2397
ATLAS_8TeV_y_2_2.4	6	0.9795 \pm 0.2376
ATLAS_8TeV_Q_46_66	4	2.9794 \pm 0.123
ATLAS_8TeV_Q_116_150	8	0.5051 \pm 0.0102
Total	319	1.0639 \pm 0.0138